Plenty of commenters are jumping to the answer but I’m enjoying the Professor’s approaches to the problem!😀

@PreMath

Ай бұрын

Excellent! Glad to hear that! Thanks ❤️

In the interests of mathematical rigour, an area can only be equal to a perimeter if one ignores the units. Usually, you are very precise in showing the units in which the answers are expressed. This time, you didn't mention units at all. Maybe you should clarify.

Root 27 divided by 27 is Root 3 divided by 9! Good practice for manipulating exponents with exponent rules.

Substitution is the beauty of MATHEMATICS ❤ ❤ 😊

@PreMath

Ай бұрын

Very true! Thanks for sharing ❤️

Nice

These questions are really good! Thanks a lot!

@PreMath

Ай бұрын

Glad to hear that! You are very welcome! Thanks ❤️

Buenas noches Sres. PreMath, Gracias este lindo ejercicio, es bien novedoso y alto contenido pedagógico. sería bueno unos tres más. Éxitos.

@PreMath

Ай бұрын

Gracias querida🌹 ¡Amor y oraciones desde Estados Unidos! 😀

As suggested by @robertlynch7520, here we have a problem with a (20, 21, 29) Pythagorean triangle. Since Area = Perimeter, let's write our equation: ½ 20 x^(⅔) 21 x^(⅔) = 20 x^(⅔) + 21 x^(⅔) + 29 x^(⅔). Solutions are x = 0 (rejected) or x = 1/3√3 (accepted) which, rationalized, gives our answer: x = √(3)/9. Thank you PreMath! 🙏

@PreMath

Ай бұрын

Excellent! You are very welcome! Thanks for sharing ❤️

Let 2/3 = b 1) Hypotenuse = 29*X^b 2) Major Cathetus = 21*X^b 3) Minor Cathetus = 20*X^b 4) Perimeter = 70*X^b 5) Area = (21*20*X^b*X^b) / 2 : Area = (420*X^2b) / 2 ; Area = 210*X^2b 6) Perimeter = Area 7) 70*X^b = 210*X^2b 8) 3*X^2b = X^b 9) 3*X^b = 1 10) X^b = 1/3 11) X^(2/3) = 1/3 12) (X^(2/3))^3 = (1/3)^3 13) X^2 = 1/27 14) X = 1/(3*sqrt(3)) 15) X = sqrt3) / 9 16) X ~ 0,19245 17) Answer : X = Sqrt(3) / 9 or X ~ 0,19245; Linear Units

@PreMath

Ай бұрын

Excellent! Thanks for sharing ❤️

📐 Nice! Appreciated the review of exponents.

@PreMath

Ай бұрын

Excellent! Thanks for the feedback❤️

Sres. PreMath, reciban un cordial saludo desde Quito - Ecuador, Soy un adulto mayor aficionado a las Sagradas Matemáticas. Gracias por la atención prestada, Espero su valioso comentario al video anterior y me sentiré bendecido. Éxitos.

Area=1/2 21×20×x^(4/3)=perimeter=70x^(2/3), x^(2/3)=70/210=1/3, x=(1/3)^(3/2)=3^(-3/2).😊

@PreMath

Ай бұрын

Thanks for sharing ❤️

X=√3/9 units.❤❤❤ Thanks sir.

@PreMath

Ай бұрын

Very good🌹 Thanks for sharing ❤️

A bit of simplification first: √441 = 21 √841 = 29 u = x²ᐟ³ a² + b² = c² a² + (21u)² = (29u)² a² = 841u² - 441u² a² = 400u² a = √(400u²) = 20u A = bh/2 = 21u(20u)/2 A = 21(10)u² A = 210u² P = 20u + 21u + 29u P = 70u A = P 210u² = 70u 210u² - 70u = 0 3u² - u = 0 u(3u-1) = 0 u = 0 | 3u - 1 = 0 x²ᐟ³ = 0 | 3x²ᐟ³ = 1

@PreMath

Ай бұрын

Excellent! Thanks for sharing ❤️

Why not reduce ? the final result is sqrt(3)/9

😉

@PreMath

Ай бұрын

😀 Thanks ❤️

Solved it orally :)

@PreMath

Ай бұрын

Excellent! Thanks for sharing ❤️

No difficulty. The result can be simplified in sqrt(3)/9.

@PreMath

Ай бұрын

Thanks for sharing ❤️

It is very easy question..☺️☺️

@PreMath

Ай бұрын

Well done🌹

@thepi553

Ай бұрын

@@PreMath hii sir , how are you.( I am from India) 😁😁

@PreMath

Ай бұрын

@@thepi553 Hello dear🌹 Take care

Easy

x=√(1/27)=√3/9≈0,1925

@PreMath

Ай бұрын

Excellent! Thanks for sharing ❤️

X3/2 × 3 = X9/2

x^2 = 1/27 → x = √3/9

??? m^2 (not =) m ???

This was not worthy of you, sorry.

@LuisdeBritoCamacho

Ай бұрын

😂😂😂 C'mon!!

X=1